On the ring of quotients of a noetherian commutative ring with respect to the Dickson topology

Alberto Facchini

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 62, page 233-243
  • ISSN: 0041-8994

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Facchini, Alberto. "On the ring of quotients of a noetherian commutative ring with respect to the Dickson topology." Rendiconti del Seminario Matematico della Università di Padova 62 (1980): 233-243. <http://eudml.org/doc/107748>.

@article{Facchini1980,
author = {Facchini, Alberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {commutative noetherian ring; ring of quotient; Dickson topology},
language = {eng},
pages = {233-243},
publisher = {Seminario Matematico of the University of Padua},
title = {On the ring of quotients of a noetherian commutative ring with respect to the Dickson topology},
url = {http://eudml.org/doc/107748},
volume = {62},
year = {1980},
}

TY - JOUR
AU - Facchini, Alberto
TI - On the ring of quotients of a noetherian commutative ring with respect to the Dickson topology
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 62
SP - 233
EP - 243
LA - eng
KW - commutative noetherian ring; ring of quotient; Dickson topology
UR - http://eudml.org/doc/107748
ER -

References

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  1. [1] M.F. Atiyah - I. G. MACDONALD, Introduction to commutative algebra, Addison-Wesley, 1969. Zbl0175.03601MR242802
  2. [2] N. Bourbaki, Algèbre commutative, Hermann, 1965. MR260715
  3. [3] A. Facchini, Reflexive rings, Symposia Math., 23 (1979), pp. 415-449. Zbl0429.13005MR565614
  4. [4] I. Kaplansky, Commutative rings, Allyn and Bacon, 1970. Zbl0203.34601MR254021
  5. [5] E. Matlis, Injective modules over Noetherian rings, Pacific J. Math., 8 (1958), pp. 511-528. Zbl0084.26601MR99360
  6. [6] E. Matlis, Modules with descending chain condition, Trans. A.M.S., 97 (1960), pp. 495-508. Zbl0094.25203MR169879
  7. [7] E. Matlis, Reflexive domains, J. of Algebra, 8 (1968), pp. 1-33. Zbl0191.32301MR220713
  8. [8] C. Menini - A. Orsatti, Duality over a quasi-injective module and commutative F-reflexive rings, Symposia Math., 23 (1979), pp. 145-179. Zbl0429.13004MR565604
  9. [9] C. Nastasescu, Teorie della torsione, Ist. Mat. dell'Univ. di Ferrara, 1974. 
  10. [10] D.W. Sharpe - P. VAMOS, Injective modules, Cambridge University Press, 1972. Zbl0245.13001MR360706
  11. [11] B. Stenström, On the completion of modules in an additive topology, J. of Algebra, 16 (1970), pp. 523-540. Zbl0206.32703MR271145
  12. [12] B. Stenström, Rings of quotients, Springer-Verlag, 1975. Zbl0296.16001MR389953

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